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Finding the Fourth Proportional to 21,516.97, 32,275.46 and 7,656.25

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Solution

The fourth proportional to 21,516.97, 32,275.46 and 7,656.25 is: 11,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,516.97 : 32,275.46 = 7,656.25 : x
  2. Step 2: Convert to fraction form
    21,516.97/32,275.46 = 7,656.25/x
  3. Step 3: Cross multiply
    21,516.97x = 32,275.46 × 7,656.25
  4. Step 4: Simplify right side
    21,516.97x = 247,108,990.63
  5. Step 5: Solve for x
    x = 247,108,990.63/21,516.97
  6. Step 6: Final answer
    x = 11,484.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.